Various aspects of numerical determination of nutation constants. I - Improvement of rigid-earth nutation

Zhu, S. Y.; Groten, E.

doi:10.1086/115201

Cited by 30 publications

(12 citation statements)

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“…The other is to take into account corrections for large coefficients, which are due to a coupling effect between the rotation of the Earth and the revolution of the Moon. Two reconstructions of the nutation for a rigid Earth model were done recently by Zhu and Groten (1989) and Kinoshita and Souchay (1990). For some reasons, explained in detail by Souchay (1993) this last theory looks more accurate and more complete, especially because it includes the planetary effects.…”

Section: Resultsmentioning

confidence: 99%

Recent Results of the Nutation Theory for a Rigid Earth

Souchay

Kinoshita

1995

Highlights astron.

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Abstract.Although the main questions remaining in the frame of the study of the nutation-precession phenomena concern principally the effects due to physical interactions, recent works have shown that even in the simplified case of a rigid Earth model of nutation, important changes have to be taken into account. Here we present the various steps having led to a more complete and more accurate rigid Earth nutation theory, since the pionnier work of Woolard (1953), insisting on the most recent improvements.

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Section: Resultsmentioning

confidence: 99%

Recent Results of the Nutation Theory for a Rigid Earth

Souchay

Kinoshita

1995

Highlights astron.

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“…In addition, the geodynamical ellipticity used is the same as that in Ref. [8] for the sake of comparison, that is…”

Section: Determination Of Constants Related With Nutation Sequence Ofmentioning

confidence: 99%

“…The observation data processing of modern VLBI shows that there exit some differences between theoretic values of nutation and observation data, so the modification of the IAU1980 nutation theory is required. Now there are two rigid Earth nutation theories: the method of analytical mechanics [6,7] and the tidal wave method [8,9] . At present, the analytical mechanics method contains the direct and indirect effects of planets, and considers more perturbation factors, which makes the theory more perfect.…”

Section: Introductionmentioning

confidence: 99%

“…Through the improvement theories of Melchior [9] and Guo [11,12] , we give a expression of high degree precession and nutation motion, the associated dynamic equation of polar motion and nutation of the rigid earth, the rigid definition of CIP axis and the formulae of precession and nutation are given in this paper. In addition, Zhu [8] used the Cartwright's tidal expansion which is not very accurate for the effects of big planets and couplings are not considered. Hence, this work also improves the expansion of tidal generating potential to reach the precision of about µGal level.…”

Section: Introductionmentioning

confidence: 99%

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Nutation Sequence of the Rigid Earth Determined by Expansion of Precise Tidal Generating Potential

Zhang

Hsu

Zhang

2005

Chinese J. Geophys.

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With the improvement to the theory of P. Melchior concerning tide and nutation, we obtain the precession and nutation moment induced by high order tidal generating potential, and an associated dynamical equation of polar motion and nutation for the rigid Earth. Then CIP of Earth is theoretically and rigorously defined. Under the effect of every order tidal moment, the expression of precession and nutation for CIP axis is presented. Theoretical deduction shows that precession and nutation moment induced by odd order's tidal generating potential cause out‐of‐phase of longitude and obliquity nutation, that is, the cosine term in longitude nutation and the sine term in obliquity nutation. Finally, from expansion of precise tidal generating potential of Xi Qinwen, a new rigid Earth nutation sequence is established, which consists of 737 terms in all. The new nutation sequence is a better complement to the nutation sequence REN2000 of the rigid Earth adopted by IERS2003, which contains 678 solar‐lunar nutation terms.

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“…This nutation model was modified for a deformable Earth by Wahr (1981) and is usually referred to as the standard IAU 1980 nutation series. Later, the rigid Earth nutation was improved by Zhu & Groten (1989), denoted by ZG89, and independently by Kinoshita & Souchay (1990), denoted by KS90, by one order of magnitude to 10 µas for ZG89 and 5 µas for KS90, so that they came up with 262 and 277 nutation terms, respectively. The detailed comparison and discussion between these two models can be found in Souchay (1993).…”

Section: Introductionmentioning

confidence: 99%

The geophysical approach towards the nutation of a rigid Earth

Hartmann

Söffel

Ron

1999

Astron. Astrophys. Suppl. Ser.

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Abstract. This paper presents the new and complete series named H96NUT for the nutation of a rigid Earth model. In contrast to the traditional computation method, the nutation is calculated here indirectly via the new and highly accurate tidal potential development recently given by Hartmann & Wenzel (1995a,b), (HW95). All contributions up to 0.45 µas were taken into account leading to 699 nutation terms separated after origin (or 607 terms summed according to the same arguments). These are: the main terms due to the Moon, the Sun and the planets, indirect planetary effects, effects due to the triaxiality of the Earth, effects due to the J 3 and J 4 geopotential, the geodesic nutation and second order terms. Nutation series for the angular momentum axis, the figure axis and the rotation axis are derived; they are in good agreement with those given in Roosbeek & Dehant (1997) with exception of several terms whose cause is discussed. Modern constants (like the precession constant) have been used throughout. The value for the dynamical ellipticity H dyn , which is compatible with these computations, is H dyn = 3.273 792 489 10 −3 . In addition, some other values related with precession are also deduced from the tidal potential. One main advantage of this work is that a completely independent analytical computation method has been established which is extensively described here (see also for more details) and which provides -besides a numerical calculation -a useful validation of existing nutation series.Key words: celestial mechanics, stellar dynamicsreference system -Earth Send offprint requests to: M. SoffelOn leave from Astronomical Institute of Academy of Sciences of the Czech Republic.

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Various aspects of numerical determination of nutation constants. I - Improvement of rigid-earth nutation

Cited by 30 publications

References 0 publications

Recent Results of the Nutation Theory for a Rigid Earth

Recent Results of the Nutation Theory for a Rigid Earth

Nutation Sequence of the Rigid Earth Determined by Expansion of Precise Tidal Generating Potential

The geophysical approach towards the nutation of a rigid Earth

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